AI 中文总结
研究在 RI/MOM 方案中准 PDF 的方案依赖性问题，提出修正有限重整化方案，通过确定重整化准 PDF 保留部分及纳入抵消项，以最小 RI/MOM 方案等为例推导相关方程，消除了对 RI/MOM 参考动量的依赖。
AI 中文摘要
准部分子分布函数为准光锥部分子分布与欧几里得晶格 QCD 中的关联函数建立联系提供框架。其与光锥分布的联系通过微扰匹配确定，而微扰匹配形式依赖于准 PDF 采用的重整化规定。在普通 RI/MOM 方案中，离壳参考动量进入重整化准 PDF 和匹配系数。我们提出修正的有限重整化方案，使二者均不依赖 RI/MOM 参考动量。从普通 RI/MOM 方案出发，确定重整化准 PDF 中保留部分，将其余有限部分纳入抵消项。以最小 RI/MOM 方案和修正最小方案为例，推导相应单圈重整化准 PDF、抵消项、匹配系数和重整化群方程，明确有限变换消除了修正方案中重整化准 PDF 和抵消项对 RI/MOM 参考动量的依赖。
英文摘要
Quasi-parton distribution functions provide a framework for relating lightcone parton distributions to correlation functions in Euclidean lattice QCD. Their connection to lightcone distributions is established through perturbative matching, whose form depends on the renormalization prescription adopted for the quasi-PDF. In the ordinary RI/MOM scheme, the off-shell reference momentum enters both the renormalized quasi-PDF and the matching coefficient. We propose modified finite renormalization schemes in which neither quantity depends on the RI/MOM reference momentum. Starting from the ordinary RI/MOM scheme, we identify the part to be retained in the renormalized quasi-PDF and include the remaining finite part in the counterterm. We consider a minimal RI/MOM scheme and a modified minimal scheme as specific examples. We derive the corresponding one-loop renormalized quasi-PDFs, counterterms, matching coefficients, and renormalization-group equations, and show explicitly that the finite transformation removes the dependence on the RI/MOM reference momentum from both the renormalized quasi-PDF and the counterterm in the modified schemes.
Comments33 pages, 1 figure
